| Title:
|
Homogenization of the Maxwell equations: Case I. Linear theory (English) |
| Author:
|
Wellander, Niklas |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
46 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
29-51 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The Maxwell equations in a heterogeneous medium are studied. Nguetseng’s method of two-scale convergence is applied to homogenize and prove corrector results for the Maxwell equations with inhomogeneous initial conditions. Compactness results, of two-scale type, needed for the homogenization of the Maxwell equations are proved. (English) |
| Keyword:
|
Maxwell’s equations |
| Keyword:
|
homogenization |
| Keyword:
|
two-scale convergence |
| Keyword:
|
corrector results |
| Keyword:
|
heterogeneous materials |
| Keyword:
|
periodic coefficients |
| Keyword:
|
nonperiodic coefficients |
| Keyword:
|
compactness result |
| Keyword:
|
effective properties |
| Keyword:
|
fiber composites |
| MSC:
|
35B27 |
| MSC:
|
35Q60 |
| MSC:
|
74Q10 |
| MSC:
|
78A25 |
| MSC:
|
78A48 |
| MSC:
|
78M40 |
| idZBL:
|
Zbl 1058.78004 |
| idMR:
|
MR1808428 |
| DOI:
|
10.1023/A:1013727504393 |
| . |
| Date available:
|
2009-09-22T18:05:42Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133893 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/133894 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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